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Which two integers is 443\sqrt[3]{44} between?\newlineChoices:\newline(A) 11 and 22\newline(B) 22 and 33\newline(C) 1414 and 1515\newline(D) 33 and 44

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Q. Which two integers is 443\sqrt[3]{44} between?\newlineChoices:\newline(A) 11 and 22\newline(B) 22 and 33\newline(C) 1414 and 1515\newline(D) 33 and 44
  1. Identify perfect cubes near 4444: Step 11: Identify the perfect cubes near 4444. Find the perfect cubes just below and just above 4444. The perfect cube just below 4444 is 2727 (33=273^3 = 27). The perfect cube just above 4444 is 6464 (43=644^3 = 64).
  2. Calculate cube roots: Step 22: Calculate the cube roots of 2727 and 6464.\newlineCube root of 2727 is 33.\newlineCube root of 6464 is 44.
  3. Determine position of cube root: Step 33: Determine the position of cube root of 4444. Since 27 < 44 < 64, then 3 < \text{cube root of } 44 < 4.

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